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Finding the Fourth Proportional to 178,178.53, 267,309.70 and 51,821.57

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Solution

The fourth proportional to 178,178.53, 267,309.70 and 51,821.57 is: 77,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,178.53 : 267,309.70 = 51,821.57 : x
  2. Step 2: Convert to fraction form
    178,178.53/267,309.70 = 51,821.57/x
  3. Step 3: Cross multiply
    178,178.53x = 267,309.70 × 51,821.57
  4. Step 4: Simplify right side
    178,178.53x = 13,852,406,734.57
  5. Step 5: Solve for x
    x = 13,852,406,734.57/178,178.53
  6. Step 6: Final answer
    x = 77,744.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.